What is the Greatest Common Factor of 52250 and 52260?

Greatest common factor (GCF) of 52250 and 52260 is 10.

GCF(52250,52260) = 10

We will now calculate the prime factors of 52250 and 52260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52250 and 52260.

How to find the GCF of 52250 and 52260?

We will first find the prime factorization of 52250 and 52260. After we will calculate the factors of 52250 and 52260 and find the biggest common factor number .

Step-1: Prime Factorization of 52250

Prime factors of 52250 are 2, 5, 11, 19. Prime factorization of 52250 in exponential form is:

52250 = 2¹ × 5³ × 11¹ × 19¹

Step-2: Prime Factorization of 52260

Prime factors of 52260 are 2, 3, 5, 13, 67. Prime factorization of 52260 in exponential form is:

52260 = 2² × 3¹ × 5¹ × 13¹ × 67¹

Step-3: Factors of 52250

List of positive integer factors of 52250 that divides 52250 without a remainder.

1, 2, 5, 10, 11, 19, 22, 25, 38, 50, 55, 95, 110, 125, 190, 209, 250, 275, 418, 475, 550, 950, 1045, 1375, 2090, 2375, 2750, 4750, 5225, 10450, 26125

Step-4: Factors of 52260

List of positive integer factors of 52260 that divides 52250 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 67, 78, 130, 134, 156, 195, 201, 260, 268, 335, 390, 402, 670, 780, 804, 871, 1005, 1340, 1742, 2010, 2613, 3484, 4020, 4355, 5226, 8710, 10452, 13065, 17420, 26130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52250 and 52260. The biggest common factor number is the GCF number.
So the greatest common factor 52250 and 52260 is 10.

Also check out the Least Common Multiple of 52250 and 52260